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Finding the Fourth Proportional to 1,941.94, 2,914.22 and 845.67

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Solution

The fourth proportional to 1,941.94, 2,914.22 and 845.67 is: 1,269.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.94 : 2,914.22 = 845.67 : x
  2. Step 2: Convert to fraction form
    1,941.94/2,914.22 = 845.67/x
  3. Step 3: Cross multiply
    1,941.94x = 2,914.22 × 845.67
  4. Step 4: Simplify right side
    1,941.94x = 2,464,470.54
  5. Step 5: Solve for x
    x = 2,464,470.54/1,941.94
  6. Step 6: Final answer
    x = 1,269.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.